1011113136 has 120 divisors (see below), whose sum is σ = 3162453840. Its totient is φ = 298905600.

The previous prime is 1011113123. The next prime is 1011113153. The reversal of 1011113136 is 6313111101.

1011113136 = 4946² + 4947² + ... + 4986².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57160 + ... + 72728.

It is an arithmetic number, because the mean of its divisors is an integer number (26353782).

Almost surely, 2^1011113136 is an apocalyptic number.

1011113136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581226920).

1011113136 is an abundant number, since it is smaller than the sum of its proper divisors (2151340704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011113136 is a wasteful number, since it uses less digits than its factorization.

1011113136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15635 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1011113136 is about 31798.0052204537. The cubic root of 1011113136 is about 1003.6907403445.

Adding to 1011113136 its reverse (6313111101), we get a palindrome (7324224237).

The spelling of 1011113136 in words is "one billion, eleven million, one hundred thirteen thousand, one hundred thirty-six".